Equation Competition Each student will solve the equations. As a group, the students will decide on a final answer. If the group’s answer is correct they will receive a point. GOOD LUCK!

1) Solve 3x + 2 = 4x - 1 - 3x - 3x 2 = x - 1 + 1 + 1 3 = x 3(3) + 2 = 4(3) - 1 9 + 2 = 12 - 1

2) Solve 8y - 9 = -3y + 2 + 3y + 3y 11y – 9 = 2 + 9 + 9 11y = 11 11 11 y = 1 8(1) - 9 = -3(1) + 2

3) 3(x + 1) - 5 = 3x - 2 3x + 3 – 5 = 3x - 2 3x - 2 = 3x – 2 -3x -3x -2 = -2 This is always true! Infinite solutions

4)What is the value of x if… 3 - 4x = 18 + x -3 3 Answer Now

5) Solve 4 = 7x - 3x 4 = 4x 4 4 1 = x 4 = 7(1) - 3(1)

7) x =7

8) Solve -7(x - 3) = -7 -7x + 21 = -7 - 21 - 21 -7x = -28 -7 -7 x = 4 -7(4 - 3) = -7 -7(1) = -7

9) 2x + 5 = 2x - 3 -2x -2x 5 = -3 This is never true! No solutions

10) Solve 3 - 2x = 4x – 6 + 2x +2x 3 = 6x – 6 + 6 + 6 9 = 6x 6 6 + 6 + 6 9 = 6x 6 6 or 1.5 = x

11)What is the value of x if … 3(x + 4) = 2(x - 1) -14 -13 13 14 Answer Now

12)What is the value of x if … -8(x + 1) + 3(x - 2) = -3x + 2

13)What is the value of x if … -3 + 12x = 12x - 3 Infinite solutions

Final Question. How many of your points do you want to wager Final Question! How many of your points do you want to wager? Your wager must be more than 0 points!

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